I think that the whole thing with automatics needing only half of the crawl ratio is total bullshit. Automatics can get away with less because they have essentially unlimited crawl ratio.
excuse my french, but the BS is what you just said.
the reason that auto trannies do indeed need less numerical crawl ratio, is because of the torque multiplication factor of the torque converter.
a T/C will actually increase the output torqe by apprx. two times, and therefore make the actual crawl ratio almost double than the nominal one.
in fact, this multiplication factor is a variable one, and it changes as the RPM moves up. anyway, it is acceptable to regard this factor as almost 2.
if you need a proof of this simple and well known fact, check out the gear ratios of any manual versus any auto tranny. you will find out that an auto tranny has, as a general rule, much higer gears than the manual ones. the difference will always be around 1.5-2, which is, in fact, the a.m. multiplication factor.
for example, TH-400 has a 2.48 first gear; a TH-700 will have a 3.06 first gear, etc., etc.
an AX-15 manual will have almost 4:1 first gear, and the older manual trannies will have between 5:1 up to even 7:1.
therefore, when you wish to calculate your crawl ratio with an auto tranny, alway multiple the nominal result by 1.5 up to 2. i think that a factor of 1.8 is more acuurate, since crawling is done at relatively low RPM usually, and that is when the torque multiplication is quite high.
indeed, the wheel size means alot and will have to be known when you want to calculate speeds, distances, etc., but the rule is that for a GIVEN tire size, an auto tranny's crawl ratio should be multipled by close to 2, in order to get real results and predict vehicle behaviour.