No installation needed. Tower Rush is an HTML5 game: you can play right in your browser, no matter which device you're using, with zero setup or waiting for updates.
Browser vs app: A browser may also feel faster than the casino app. Sometimes an app will be slow to load the game, but the browser might not be.
Tower Rush works right inside Safari for all the iPhones and iPads released in the last five years. You are meant to use it vertically on a tower as if holding a phone upright, with the cash out button remaining accessible at all times in thumb reach. It also works well on the larger iPad screens, making it easier to read all the multipliers as well as the bonus floor animations.
Chrome is the standard browser used on Android. For the last four years, Tower Rush has been compatible with midrange phones. The bonus floor animations also run properly in that range. On some older or cheaper devices, there may be a few visual artifacts that occur while animations are running in the game. It's cosmetic and does not impact any aspect of the RTP, outcome of the round, or the Provably Fair mechanism.
Every control is in reach of your thumb and stays there for the duration of a round. No repositioning or searching for controls.
On a decent 4G connection
No videos or huge files need to be downloaded every time a new round starts
WiFi can help load the game the very first time, but not much beyond that
The direct answer: There is no real performance benefit to either platform. While many people prefer desktop play, they do not mind jumping to a mobile app when the need arises, or vice versa. Both platforms play perfectly well, so just use whatever you have handy.