Most diehards are put off by Sleeved Guns both aesthetically (appearance) and often poor results in lost handling dynamics.
Well crafted TIG sleeved barrels are not easily detected and, IME, work well for shooter guns (maybe less well for collector guns).
Control of handling dynamics is a matter of knowing what to specify and paying for the extra work that may be necessary. One of the issues is that often the barrels are being repaired due to thin walls. Well, to state the obvious, they didn't come from the maker that thin. So, we must assume they "grew" thin in service. Ergo, the gun's handling dynamics have already changed from original. If you are in love with the gun's current handling, you will have to settle for equally thin barrels or shorter, thicker barrels.
A gun's OE handling is by no means magic. Because only weight and balance were measured, swing efforts, the measure of handling dynamics, was purely subjective. British game pattern guns were lighter, more rearward balanced, and required less swing effort (both unmounted and mounted) than typical American 12 bores. Hence the idea that some form of magic was used in their building.
DDA