The Official Trump (TRUMP) reached a new ATH on Januanry 19 2025, where many persons had a huge cash out. Obviously when the TRUMP coin started making a huge upward movement Bitcoin follow suit because we have seen Bitcoin for weeks below 100k. Not until the hype around the TRUMP coin made it explode and Bitcoin went up as well crossing into the 100k and now at 104k.
This is to clarify the doubt that an altcoin can as well have a positive impact on Bitcoin price.
Basically no one expected that Donald Trump would issue a meme token ($TRUMP), of course this sparked the interest of investors to buy because they knew this would be easy money if they bought it as early as possible, this is also one of the causes why many altcoins are sideways and even tend to go down, because many investors are moving their money for a while.
In addition, your statement regarding “The price of $Trump rose and then Bitcoin followed it” we have different opinions here, my personal assumption is that this is just a coincidence because the launch of the $Trump token was only a few days before the inauguration of the President of the United States, Donald Trump. Meanwhile, Bitcoin experienced a Flash Pump to create a new ATH when Donald Trump was inaugurated on that day, not on the day the $Trump meme token was launched.