Not in the American service. Brevets had no relevance regarding lineal rank promotions. From the Army regulations seniority alone was considered, and not brevets.
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In other words, an officer next in line of seniority to a vacancy in the line is only bypassed in favor of a junior in seniority, where disabled or incompetent. Not by means of any brevets held by the junior.
Remember, there are three sorts of brevet:
1. Awarded for actions
2. Awarded for ten years time in grade
3. Created by razing rank by reduction (as happened after the War of 1812 and Mexican War)
In all cases, the officer is advanced to the next rank in the Army, but since there are no spaces in a regiment, they cannot by paid as such. See the 1824 opinion of Wirt (the Attorney-General). Brevets are Senate approved promotions, and are real promotions in the Army.
Despite being "only a Colonel," Macomb was the senior major-general in the army when Brown died. His brevet was a
razee, he had been a substantive major-general when the establishment was reduced. He was the next most senior MG in the Army. The Resolution of 24th November 1778 is in effect, that razee'd officers are entitled to the next available vacancy.
Just before the ACW, the case of Brevet Colonel JE Johnston was resolved in Johnston's favour. Johnston had been Commissioned Lt Col of the 1st US Voltigeurs and breveted Colonel in that capacity. After the regiment was razed, he was appointed Capt of Topographic Engrs and received two brevets to bvt Lt Col. His claim to retain his rank of Colonel in the Army was accepted.
The way the Army Register phrases it is correct. "Rank in the Regiment" is the lineal rank, and "Rank in the Army" is the brevet rank. The question is has an officer been ordered to duty in their regimental or army rank. If 1Lt Muggins of the 1st US Infantry has been ordered to extraregimental duty (in a volunteer brigade), it is obviously his rank in the Army that is active, whether or not the order contains the phrasing or not. He cannot have been ordered to said duty any other way.
There was a bit of a back-and-forth about the interpretation. The Constitution reserves the right to make laws governing things like Brevets solely to the Senate. Various Secretaries etc. had interpreted the expressed intent of the Senate in that brevet rank was "real rank." In 1846 Polk overturned all the case law and resulting regulations in an attempt to deny Wm Worth a command. Jeff Davis' rewrite of the regulations went further than the Constitution allowed, adding restrictions on the exercise of Brevet rank not authorised by Congress.
@Saphroneth has gazumped me a bit, but I've found cases of brevets giving seniority in lineal rank, and them being ignored for seniority. It seems to depend on who was in office. Jeff Davis and Floyd were of the latter opinion, and so leading upto the ACW brevets were being ignored for lineal seniority. Simply, the law was unclear, and was interpreted both ways at different times.
Things seem to have flipped again for the ACW, with brevet rank being the "real rank," and thus in 1866 the board of Sherman, Sheridan, Meade and Thomas who were appointed to award regular Army brevets awarded very few, because they gave entitlements to command above the lineal rank.
However, lets' consider the unlikely event that 1st US Infantry and a volunteer brigade have been ordered to duty at a post under a BG, and 1Lt (Bvt BG) Muggins has not been ordered to duty as a BG. If the assigned BG dies, then the senior officer takes command, and as a body of multiple regiments, it is rank in the Army that is the effective one. In this case, until orders are received, Bvt BG Muggins is in command as the senior officer present. This was clarified by General Orders no. 11 of 15th April, 1845 - a Brevet is a regular Commission in the Army, thus in any mixed formation (meaning more than one regiment), rank in the Army determines seniority rather than rank in the regiment. This of course was overturned by Polk in 1846, but was still the common interpretation.
As another point, brevets were not authorised in the volunteer force until March 1863, and then because a bunch of people who should have gotten brevets got substantive promotion in the volunteer force instead (Grant's DC's, Burnside and his DC's etc.), creating a situtation where some division commanders ranked corps and even army commanders.