Edit: To my surprise, I found that I really enjoyed Josephine's romance. It got off to a really, really slow start and I almost threw in the towel long before her personal quest started, but once it did get moving, it was great. So for me, Josephine's romance was a success, and Solas's romance was a failure.
For me it was the opposite, started somewhat interested, and just lost interest halfway in. (I knew about the "no sex scene" thing going in, and that didn't really bothered me.) The over-use of the "Josephine-Kissing-With-One-Leg-Up" animation also grated on my nerves.
Out of curiosity, are people truly all that bothered by romances which don't feature sex scenes?
I know I appreciate sex scenes because they offer extra content with my chosen LI. I couldn't care less whether that content was sexual or not, however.
Depends. If the game had no sex scenes at all? I wouldn't be bothered by it. Otherwise, I would simply have to ask: Why not have a sex scene?
If it was due to exhausting political reasons, or making some kind of a gender / sexuality related statement, I would simply move to the other romance option unless the first seemed very appealing on its own merits. Because I hate political crusading in my entertainment.
I guess it's similar to the original topic somewhat. And the same as real-life in a way: Would you pursue a long-term romantic relationship with someone who has no interest in sexual activities assuming that you have the interest?
I would be honest and say that simply no, I wouldn't be interested, no matter how amazing the other person is, because it would frustrate me to no end, and that is a good way to create a living-hell for both sides in any relationship.
Could I role-play someone who is interested in this type of romance? Maybe, but not easily. I wouldn't really be able to "feel" it.
I might play through it for the novelty of it, but that's about it.