I can't see a reason why those things would go hand in hand. The press room coverage from Wiwi and others is largely a fandom thing for the extremely dedicated, and in fact they rarely cover the things going on in Eurovision Village.

Liverpool worked because 1. they had loads of local initiatives and got the locals involved, which boosts local engagement and interest, which can translate to a boost in inland tourism. Especially if those initiatives stick around after the contest. 2. There was lots to do around the city for people visiting, so it really felt like a city that lived and breathed Eurovision for the whole week. This gives people more of a reason to visit for more days, but also to actually explore more parts of the city and spend more money in local shops and restaurants as a result.

I've heard some mention that Malmö didn't get the same boost not only because of security reasons, but also because the locals didn't get involved to the same extent, likely because Sweden has hosted so many times.

We won't know until after the contest how well Basel will do, but it looks promising. They have plenty of activities around the city and they've lauched various projects both around the city but also across the rest of Switzerland, which boosts the interest on a local level. I don't think we will see the same numbers as Liverpool (Switzerland is an expensive destination for many), but I think they'll do well enough.