That’s just the browser though (Orion) — the main product, the search engine, has no Apple focus. I believe a significant part of why they built the browser is because Safari on iOS doesn’t have good support for third-party search engines. You shouldn’t have any such issue on Android.
The search limits are per account. As long as you’re signed in, you’ll be fine.
Edit: Also, the browser is WebKit, not Chromium. That’s why it’s Apple-only.