It says that women rate most men as less attractive than average, yes. But then women are quite willing to message men who are rated as less attractive than average.
Meanwhile, the men rank attractiveness on a shockingly mathematical-looking curve. However, at the same time, men overwhelmingly refuse to message any but the most attractive of women.
Thus, if you're an average-looking man, your odds of getting messages are actually greater than they are for an average-looking woman.
Untrue. If you're an average-looking man your share of female-to-male messages is greater than an average-looking woman's share of male-to-female messages. The woman is still getting a far larger number of messages.
Any research/analysis on the topic pales compared to reality.
Here's what happens in real world ("Tinder Experiment: 18 Yr Old Woman Tries Being A Man!!!"): https://youtu.be/DZTIbHIsIYw?t=615. It's a larger view compared to the number of messages, but the principle still applies.