EVs are more expensive than ICEs - especially without government subsidies.
Model S/X have always been relatively more expensive than comparably equipped luxury ICEs (when you ignore the difference between owning an ICE and an EV).
For many S/X owners, their purchase was (by far) the most expensive vehicle they've ever bought - and it's likely a high percentage of those customers would have strongly considered 3/Y, if available.
Will we see a refresh of S/X? Yes. This could be driven by FSD - if/when Tesla gets approval for unassisted self driving, the driver's "cockpit" will not be as important, and we could see vehicles without a steering wheel, or with an alternative that would allow the steering wheel to have less impact. And we're likely to see increased emphasis on all passengers (including the person sitting in the "driver seat"), items such as workspaces, hotspots, entertainment systems (video!), rotating front seats, … Since Tesla (Musk) strongly believes this will happen in the next few years, it seems highly unlikely we'll see major interior changes until FSD is close to ready.
Will we see other smaller changes to S/X? Yes. Tesla (Musk) has announced a new battery pack will be coming out next year, which will fully support V3 supercharging and extend pack life from 300-400K miles to 1M miles. We're also likely to see smaller interior/exterior changes - if the changes can either have high impact or help reduce manufacturing cost.
Even with other manufacturers introducing competing EVs, Tesla is still the market leader, because of their head start on battery, motor and charging technologies & deployment. In the near term, especially with the disappearing US tax credit, the biggest impact for Tesla will come in cost reductions and bringing the S/X purchase price down while maintaining profitability, and positioning Tesla to defend their S/X sales.
Doubt this is setting the stage for Tesla to increase prices and create an even larger gap between 3/Y and S/X...