The advantage of a laptop is exactly that you can easily host it at home, and own everything. I have one - with an UPS also holding the router and fiber optic and an external HDD. I'm actually working right now to version 2.0 which is a beefed up version - still used laptop (found a great deal on a lenovo P1), but slightly more expensive and I'm waiting on some parts to upgrade. Should be able to even hold the produc…
Do you not get memory errors without ECC RAM?
Otherwise, the effect of memory errors depends on the use case.
If the laptop or mini-PC is used as a router/firewall/Internet gateway, then memory errors are usually not important, because they would result in corrupted network packets that are likely to be detected at the endpoints of a network connection.
If the laptop or mini-PC is used as an e-mail server or a Web server, then a fraction of the memory errors may result in a stored file that becomes corrupted.
At the small amounts of memory typical for a laptop or mini-PC, unless the PC is many years old there should be no more than a few memory errors per year at most, and the majority of the errors might not result in file corruption, but sometimes they may cause weird behavior requiring a computer reboot.
Anecdotally, during the years I have seen on the Internet a non-negligible amount of big files, e.g. movies, which appear to have bit flips that are likely to have been caused by their hosting on servers without ECC memory. Fortunately, in movies a small number of bit flips will not cause severe quality degradation.
With more valuable data, one must use ECC memory to avoid such problems.