Eidai's ability is a passive one that makes anyone who sees him fall in love with him regardless of gender, but if we are to be more realistic, considering SBA rules, both characters are aware of each other's whereabouts, and Saitama has limited telepathy, allowing him to hear conversations from other dimensions and read minds. In such a scenario, there are several reasons why Saitama would win:
1. Saitama is very lazy; he wouldn't want to run the distance to reach Eidai. He would either take him down with a single move from afar or finish the job with a table flip. Approaching from this distance isn't something in Saitama's character.
2. This is quite important: in the latest chapters of One Punch Man, it's mentioned that the dimension where the God resides is a "higher" dimension, where time and distance have no meaning. As a result(even though they aren't uptaded the profile)God's will is 4D, and Garou has resisted this will. So Garou's
Supernatural willpower is scaled to 4D. Now, when it comes to the
willpower in OPM universe, it's more comprehensive compared to others. For instance, it's stated that it's resistant to empathic manipulation. Therefore, Saitama, being superior to others in willpower (generally having a superior willpower compared to everyone in OPM), gains resistance to 4D empathic manipulation.
And i don't even need to mention it but, Saitama grows indefinetly and he would passively grows out to be faster than Eida as the fight starts.
I think this is clear explanation for everyone else who saw this thread. Saitama FRA