Disconnect and reconnect widget doesn't always update widget state

[srirambv]

Description

Disconnect and reconnect widget doesn't always update widget state

Steps to Reproduce

1. Login to Binance in a new tab
2. Connect widget
3. Disconnect widget, ensure widget goes back to pre-connect state
4. Try to connect widget again, asks for permission since you're already logged into the account in a different tab
5. Widget loads and then goes back to the pre-connect state

Actual result:

Disconnect and reconnect widget doesn't always update widget state

Expected result:

Should connect wallet after authorizing the account to connect

Reproduces how often:

Intermittent issue

Brave version (brave://version info)

Brave	1.9.21 Chromium: 81.0.4044.92 (Official Build) nightly (64-bit)
Revision	32921c79b6f01a0fb2deef0e1d45b42f96581051-refs/branch-heads/4044@{#883}
OS	Windows 10 OS Version 1909 (Build 18363.778)

Version/Channel Information:

• Can you reproduce this issue with the current release? NA
• Can you reproduce this issue with the beta channel? NA
• Can you reproduce this issue with the dev channel? NA
• Can you reproduce this issue with the nightly channel? Yes

Other Additional Information:

• Does the issue resolve itself when disabling Brave Shields? NA
• Does the issue resolve itself when disabling Brave Rewards?NA
• Is the issue reproducible on the latest version of Chrome? NA

Miscellaneous Information:

[srirambv]

Verification passed on

Brave	1.10.11 Chromium: 81.0.4044.122 (Official Build) nightly (64-bit)
Revision	44f4233f08910d83b146130c1938256a2e05b136-refs/branch-heads/4044@{#963}
OS	Windows 10 OS Version 1909 (Build 18363.778)

• Verified widget connects successfully after disconnecting and reconnecting

---

Verification passed on

Brave	1.10.11 Chromium: 81.0.4044.122 (Official Build) nightly (64-bit)
Revision	44f4233f08910d83b146130c1938256a2e05b136-refs/branch-heads/4044@{#963}
OS	Linux

• Verified widget connects successfully after disconnecting and reconnecting

---

Verification passed on

Brave	1.10.11 Chromium: 81.0.4044.122 (Official Build) nightly (64-bit)
Revision	44f4233f08910d83b146130c1938256a2e05b136-refs/branch-heads/4044@{#963}
OS	macOS Version 10.15.4 (Build 19E287)

• Verified widget connects successfully after disconnecting and reconnecting

---

Logged #9485 for incorrect state of widgets on different tabs