Yes...
Bundled Power Supply are not as stable as Branded. And possible rin po na overloaded na ang system mo for the rating ng PSU na kayang i-hold nito.
Also consider CPU temperature. You can monitor it by softwares.
What i've noticed sir is ung the top of casing where PSU is located, parang medyo mainit siya. Pag nakalagay na ung cover ng CPU, nag-ooff ung CPU ng mas madali, whereas pag nakaopen at wala pa cover, tumatagal ung computer at hindi siya nagshutdown ng ganun kabilis, wag lang kapag ginagamit na sa gaming dun medyo feel ko umiinit ulit.
Yung existing nya is a generic ATX 500w. Do I need to get the same PSU? Can I get I higher rating as 600w?