Now, I know most F1 fans will probably flash back to the lunacy of Singapore 2008 as a reason this shouldn't be revisited–however, if this rule had been in place for Abu Dhabi 2021 and Masi were to make the same decision to restart the race, Hamilton and Verstappen would've been on equally-aged tyres for what was ultimately a last-lap shootout. No less gimmicky, perhaps, but maybe at least a little less artificial than it ultimately played out.
Here are some reasons I think F1 should consider closing the pit lane during all SC periods:
• VSC will have no impact on race strategy: rather than a VSC being "a giant pair of dice that descend from the sky" (thank you to either Risil or SophieB, I can't remember

• SC periods do not correlate with pit windows: when cars had to refuel during the race, there was always the chance that a need to stop for fuel would coincide with a period during which the pit lane would be closed. As F1 race strategy is now tyre-limited, this is no longer the case, and there is no need for teams to make stops during SC periods except for strategic gains.
• Closed pit lanes incentivise earlier pit stops: currently, running long to preempt an SC period is the ideal strategy. Were the pit lane to close under SC, pitting early to preempt it would be preferable instead, as it would mean those who did not pit before the SC period would have to do so in a bunched field. This removes the possibility of the "checkmate" advantage state of having fresher tyres, track position (potentially), and fewer laps left for an upset to occur should a driver running long benefit from an SC period (it also makes it far riskier to use the second car as a roadblock, not that I have any issues with that). With a closed pit lane under SC, drivers aiming to take fresh tyres will always have to cede track position, as pitting either before or after an SC period will always place them farther back in the field.
Obviously, closing the pit lane as a matter of procedure would mean establishing a protocol for when SC periods vs. VSC periods (or red flags) would be used, and closely adhering to that protocol, otherwise we end up with the same thing we had last weekend.
I'm a race strategy nerd so I'm consistently fascinated by this part of the sport. There are probably more reasons that this could be a useful change, and definitely some reasons for which it wouldn't be! Let's see if we can work them all out here.
