No. Monero has variable block size so it won't have such issues.
Discussion
Interesting. That would make it easier to use in the end. At least for a noob user. I like Monero's main client for macOS. It's good stuff, simple, good user interface, safe, private. I think currently it's a bit easier to use than Electrum.
Is there a Monero wallet for the browser for micropayments? aka. Monero Zaps?
wallet.mymonero.com is a web wallet, but be careful obviously not a secure place for large amounts of Monero and you don't have the same privacy as a normal wallet. You don't need to sync everytime you open it, but it's at the expense of their servers being able to see everything.
Maybe that doesn't matter to you for "zaps" and you can immediately send to your personal wallet to regain that privacy.