They could indeed, Feared. I just double-checked Stonewall's current definition of transgender, and 'crossdresser' is still there on their list of who is included:
'Trans – an umbrella term to describe people whose gender is not the same as, or does not sit comfortably with, the sex they were assigned at birth. Trans people may describe themselves using one or more of a wide variety of terms, including (but not limited to) Transgender, Transsexual, Gender-queer (GQ), Gender-fluid, Non-binary, Gender-variant, Crossdresser, Genderless, Agender, Nongender, Third gender, Two-spirit, Bi-gender, Trans man, Trans woman, Trans masculine, Trans feminine and Neutrois.'