Irene, the only way you will find variants is if the spelling you search for is included in the OLN (Other Last Names) field on the profile. We are encouraged to list spelling variants there, so that they can be found in searches - there is nothing "untruthful" about adding commonly seen spelling variants of a name. Unfortunately, if nobody had done this for a profile that has one of the variants you would like to be able to find, then it won't turn up on your search.
For an example, Bresnick is a name in my family, although different family members have spelling variants for their LNABs (Last Name At Birth) and CLN (Current Last Name). You are likely to find names listed on one of these profiles as:
LNAB - Breznik
CLN - Bresnick
OLN - Bresnik, Breznick, Brosnick