Yes. From the treasures of your heart your lips will speak, said Jesus - Isa for muslims - but like Isaiah said, "they have ears but not listen, they have eyes but can not see" the truth so evident and in front of their noses, yet hidden for them by Him who gives the light to understanding and knowledge.
It is also true that islam - as religions all over the world - is full of discent inside; sunnioes kill shiite and vice versa. Wabis are hated by both, etc...The tale of the virgens may not be accepted by all muslims, though, but your point is true anyway.
This offer comes in perfect harmony with Mohamed's personality; he had selected a child at 6 years old to be his wife - bethrowed to him as the Koran says - and married her when she was 9 years old, making her his wife when he was 56. He had in total 11 wives I believe, but not sure. In any case, the tale of the virgins - as reward - comes in line with his personality, very appealing to young males, may I say.