`Simplified view` not appearing on the first page load - Follow up to #42087

[kjozwiak]

Description

As a follow up to https://github.com/brave/brave-browser/issues/42087, the Simplified view prompt isn't being displayed on the initial page load. Users will need to load a compatible page and then refresh it to see the prompt. At that point, the user can go into `simplified view.

Steps to reproduce

Basically the same STR/Cases outlined via https://github.com/brave/brave-browser/issues/42087#issue-2635931816.

1. enable Simplified view for webpages via Hamburger Menu -> Settings -> Accessibility
2. once enabled, load cnn.com and open any articles
3. notice that you won't see a Simplified view prompt
4. refresh the same page once again and the Simplified view prompt will be disaplyed

Actual result

https://github.com/user-attachments/assets/6aba7c17-ca81-4468-93df-370490bb98c9

Expected result

Users should be see the Simplified view prompt as soon as they load a compatible webpage rather than requiring a refresh to see the prompt/access simplified view mode.

Reproduces how often

Easily reproduced

Brave version

Brave | 1.75.4 Chromium: 131.0.6778.39 (Official Build) canary (64-bit)
--- | ---
Revision | 26b16ff324dee28788c8470ac458b2a31d27b0b7
OS | Android 15; Build/AP41.240925.009; 35; REL

Device

• Brand/model: Pixel 6
• Android version: Android 15

Channel information

• [x] release (stable)
• [x] beta
• [x] nightly

Reproducibility

• [ ] with Brave Shields disabled
• [ ] with Brave Rewards disabled
• [ ] in the latest version of Chrome

Miscellaneous information

The above will also be in release/stable once https://github.com/brave/brave-browser/issues/42087#issue-2635931816 hits via 1.73.x.

[kjozwiak]

Believe @hffvld & @Uni-verse also mentioned that they could reproduce the above when they were verifying https://github.com/brave/brave-browser/issues/42087 via the 1.73.x release. So it's definitely an issue and could be improved re: when we're displaying Simplified view.