... it seems to me that in order to get a bowline secure enough for more critical uses, one has to twist in so many other wraps and tucks that it becomes quite awkward, uses a lot of rope, and takes a long time to tie...
It may seem so - but it is not so !
HALF a turn of the Standing Part after the eye ( so you form a second, "lower" collar around an eyeleg or around the rim of the nipping loop ), and ONE more tuck, is enough. ( See the Ampersand bowline : Just take the tail of the Standard bowline, turn it "upwards", and tuck it again, once, through the proper opening of the nub ). You may also add one more nipping loop ( in the form of a double/twin nipping loop, or of a Clove hitch, a Girth hitch, a Pretzel or a Constrictor ), but that helps only in making the knot s nub more tightly closed around itself ( = less easily loosened under shaking or vibrations ), and, perhaps, in reducing wear.
( I have a friend who use ONLY Eskimo bowlines for ALL the many loops in his sailing boat.

Although I have tried many times, I have not persuaded him to use even ONE Standard bowline...

)
Now, I have to repeat that there is not ONE Eskimo bowline, but FOUR. So, when you say "THE Eskimo bowline", it may seem
that you have not yet studied it in detail. Also, when you speak about THE Eskimo bowline with a Yosemite finish, THE Lee s Locked Eskimo bowline, THE "round-turn" Eskimo bowline ( I do not even understand what this "round turn" means... ), THE Eskimo Water bowline, THE "Lehman s lock" ( another mysterious term... ), you do it like all those knots are unique, and well known to anybody. I believe I have some experience with the bowline family of knots, and I can not understand what particular knot you mean in any of those cases ! It would help if you SHOW, with pictures or sketches, which knots you mean, so somebody can comment on them - and then show different variations of the "same" knots, where those comments may not apply !

A family of secure "Eskimo" bowlines you should examine, is the "Eskimo" Janus bowlines :
http://igkt.net/sm/index.php?topic=4329.0 the Girth-hitch based "Eskimo" bowlines :
http://igkt.net/sm/index.php?topic=4009.0 and the very tight Pretzel-based "Eskimo" bowlines :
http://igkt.net/sm/index.php?topic=4684.0 I would also like to mention a family of TIB loops which are based on the Eskimo-like ABoK#1051 - which are not yet studied as much as they deserve...