If they plan to use the original levels, then they'll probably need to reproduce many of these glitches to make some levels work.
Even if what you say is true (which I am fairly skeptical of, since like Ahribar I can't think of any levels that required glitches), there is still the option of not including the levels that require an unimplemented glitch, substituting instead with new levels.
After all there is already a precedence for it in the numerous Lemmings 1 ports. Certain systems such as the Sega Genesis, the game boy, etc., cannot handle the large map sizes used for the Amiga/PC/Mac, so they either substantially alter the level to make it fit in a smaller map size, or in many cases, substitute completely new levels.
And my believe is that the number of levels requiring such a substitution would be few if any. In general I believe the original Lemmings levels gave a bit of margin of mistake, even on the harder levels, so as long as the differences are small enough it is unlikely to render a level impossible.