If an S&W K-Frame is “Full-Sized,” then, yes, it is normal for me to carry a full-sized-grip handgun, most days, though my centerfire K-Frames have 2” barrels. I also carry 3” to 4” GP100 revolvers, some days. Some days, however, a Ruger SP101 will be the primary weapon, but, notably, the “heel” of an SP101’s factory grip reaches all the way to the “heel bone” of my hand, if I have attained a properly high hand position. Within the limits of the shorter sight radius, an SP101 handles much like a duty/service type of handgun, in my hands. I have somewhat large hands, but medium-length, slim fingers, so, can get a three-finger grip on an SP101; the grip is close enough to full-sized, for my purposes.
I actually have an “orthopedic need” to use a handgun with a large-enough grip, and traded-away three Glock G19 pistols, in 2020, after not shooting them since 2017, when they became too painful to shoot right-handed. It did not hurt while actually shooting, but, soon after the range session, the pain and swelling would make itself evident. I have, quite simply, aged-out of shooting smaller handguns right-handed, unless they are chambered for cartridges less powerful than duty/service cartridges. I can still shoot compact pistols left-handed, but I still consider my right hand to be my “primary” weapon hand. I worked as a police patrol officer for 33+ years, in a big city known for frequent interesting incidents, so, reflexively using my right hand to reach for a defensive weapon is very much hard-wired into my nervous system.
I am unlikely to down-size to a compact-gripped handgun, for primary daily carry, unless I down-size to a less-than-duty/service cartridge, or, make the considerably investment in re-hard-wiring myself to carry left-handed primary.
Trivia Warning! The following may cause drowsiness, unless one is sufficiently caffeinated:
On occasion, when I feel a need to up-gun, I may opt to carry a full-sized-grip Glock, or a full-sized 1911. These weapons remain sufficiently “orthopedic” for my aging right hand. I may well position a Glock for lefty access, as a second weapon, while toting an SP101 as “primary” on the right side. The SP101 is there, for quick, reflexive access, while the Glock is the “reload.” Of course, if circumstances permit, the Glock could be consciously selected, and I can shoot left-handed, actually being a natural left-hander, with detail-oriented, delicate tasks, such as writing, eating, and, well, the complex Glock trigger. I developed the habit of carrying on my right side, because I naturally throw right-handed, and tend to naturally wield large tools right-handed. Training to draw the then-mandated, relatively heavy S&W L-Frame duty revolver, from the then-mandated low-slung duty holster, during my police academy time in 1983 and 1984, was much like throwing underhanded.
The speed-loading technique I was taught worked much more smoothly than the alternative, left-hander’s reload. I knew that I would be patrolling mostly alone, one officer per patrol car. The right hip is more accessible, when driving most vehicles. If attacked while writing, a pen would be in my left hand. Police officers spend much time writing, while on duty, and, of course, a pen is a improvised weapon. I trained myself to drop the ticket book or notepad, distract or jab with the pen in my left hand, while reaching for the holstered weapon with my left hand.
In the days of double-action revolver usage being normal, I found that working the DA trigger was hand-neutral, for me, not mattering which hand I used. It made sense to carry “primary” on the right side. There are other things that I can do well enough with either hand, though I am not truly ambidextrous; my right hand cannot write worth anything, and I cannot throw left-handed, with any usable force or accuracy.