Jetpack Search Widget does not display the right number of filters

### Quick summary

The Jetpack Search Filter widget always shows 5 filters, not applying the number set by the user.

### Steps to reproduce

1. Enable Jetpack Search Free.
2. Go to Apperance ---> Widgets.
3. Customize the maximum number of filters in the Jetpack Search sidebar.
4. Save the changes.
5. Go to the live site.

### What you expected to happen

To see the number of filters I set.

### What actually happened

5 filters were shown regardless of the number set in Appearance ---> Widgets.

### Impact

All

### Available workarounds?

No and the platform is unusable

### Platform (Simple and/or Atomic)

Simple

### Logs or notes

6265461-zd-woothemes

No file or test is named in the report. Start by reproducing the widget configuration through Appearance → Widgets, then trace how the maximum filter count is saved and rendered; done means the live site shows the user-selected number instead of always showing five.

Written by the indexing model from the issue text.