I too "have run several campaigns", my suspicion is that makes for an utterly average baseline here rather than some standout pinnacle of experience to brag about.I've run several campaigns that have gone up into the mid-teen levels; I've never had combat become a slog.
I don't use official monsters very much, but as a basic rule of thumb, a mob of lower level monsters should collectively be able to do enough damage to drop a character with d6 HD of the party level from full HP to 0 in one turn, assuming an AC of 12 + party's proficiency bonus.
If the party doesn't spend a few actions clearing them out or keeping them CCed, then they're going to give the party a bad time. Especially since you spend a lot of combat at high levels at very low HP totals (thanks to death saves and healing word), it only takes a couple of mook hits at the wrong time to make you miss a turn.
Bounded accuracy contributes key linchpins & foundational cornerstones that directly contributes to the collapse of the system's math in late tier2 to early tier3. Generally by 7-8 PCs are so far above the curve that monsters and the overly bounded skill system fails to meet them in any way other than pointless encounters or frustrating slogs. If the GM uses higher CD monsters for a more difficult encounter to counter the collapse it just gets worse as different classes are impacted to different extents (or not at all) it both accelerates tge decline and creates new problems on top of the still present ones they were hoping to solve. The choices in that decline are to embrace the slof of endless pointless encounters or resist it with fewer absolute slogs of rockemsockemrobots with giant bags of hp.