Tool filter fix for FF (+ some minor)

[pmodin]

The filter functionality on the tools page assumes an initial state, but Firefox keeps the state between reloads. Remedy this by checking state on load.

This started out as just a small typo fix for 546872785c9feded58c4e3f05847f9d29ff1b8f1 but snowballed.

• Fix spelling in tools tooltip
• Bugfix: tool selection to work on cached inputs
• remove some stale code that lint complained about