I guess you're saying you'd prefer the ads to be more subdued and less annoying than what they currently are? Have you considered mailing support and asking?
Though honestly, this is chess.com after all ... unless Erik sees a business reason (losing a potential customer base, including the free accounts), he's really not going to miss you or me.
Update: Have you explored all the annoyance-blocking plugins on your browser to improve your user experience?
For example, I'm running a free account with Chrome using Popup Blocker Classic and Adblock plus (which is quite lethal at dealing with annoying ads) ... I seem to have a fairly pleasant time.
I am really surprised at Chess.com, it's a classy site and I am disappointed they have made the decision to totally ruin free chess with distracting advertisements. I am not talking about run of the mill adverts. I accept those, I don't pay. But to totally ruin games with fast moving, flashing adverts is really tacky.
It does not tempt me to pay to avoid the adverts, it makes me want to leave a site that uses such tactics. Shame on the marketing team, I was considering becoming a paying member but this latest move has made me reconsider. I hope others will make the same decision as I have if chess.com continues with this strategy.