The Perseus System does not really accept homosexual love (not just sex) in its remit (restricted world view) but I am now expanding the types allocation to allocate their attitudes.
ENFJ: Close family ties mean that it is probably accepted because of a lack of opportunity for the normal mating behaviour. 5% of the total population.
ENFP: OK for novelty and surprises and when they are in danger, but they will revert to normal except when blackmailed. 5% of the total population.
ENTJ: Rejects the possibility as feasible. Not impossible though given exceptional circumstances. 5% of the total population.
ENTP: Non-conformist and innovative, but this does not mean that homosexuality is acceptable. It isn't. 5% of the total population.
ESFJ: They like personal contact, but homosexual contacts are eschewed, except perhaps a brief encounter, less than a one night stand. 13% of the total population.
ESFP: Very sociable and may not take notice of gender differences, but I still think that it is unlikely. 13% of the total population.
ESTJ: Not love but a power bullying relationship is possible. With this lot, I sometimes whether they are capable of love at all, but always with the opposite sex. 13% of the total population
ESTP: I expect this lot could, but they love themselves most of all. 13% of the total population.
INFJ: Complex personality and I do not really understand this lot. For the sake of harmony they may engage in a liason, but a homosexual love is impossible. 1% of the total population.
INFP: They could easily sacrifice themselves to homosexual love in conventional theory, but I think it is impossible for these type. 1% of the total population.
INTJ: Could be crackpooted enough to try on drugs, but otherwise nigh impossible. 1% of the total population.
INTP: Could be deluded into attempting a wrong liaison of any kind because of lack of personal contact, but I would say it was impossible. 1% of the total population.
ISFJ: Too conservative to even try, but they might like it for a bit if they get trapped. 6% of the total population.
ISFP: Not big on commitment, but very much on the cards for these types. They will revert to normal if the opportunity arises. 5% of the total population.
ISTJ: These lot could be savage homosexual lovers. But not if it was illegal. 6% of the total population.
ISTP: My guess is that this lot could adapt to what whatever they want and could be homosexual as a second choice. 5% of the total population.
First draft. Opinions appreciated.