The visa process has been streamlined on the Taiwanese end (E-Visa has been active since October 2016), but otherwise, if you go through TECO (or MECO) you still have to do a certain amount of hoop clearance over on the Pinoy side. Every document has to be certified by the DFA, so birth certificate and marriage certificate (if applicable). Of course, all docs have to be NSO-issued within last six months. PH passports are only good for five years, so you gotta watch out for that, too. Gotta do all the hooping again with the documents to renew. Of course, @finley, NOTHING involving the bureaucratic circle jerk is easy over there.
At any rate, the quick answer is: with E-Visa, it's not as much a pain in the ass to get out of there as it used to be.
The family came over this January (with wife on E-Visa) and it was remarkably smooth despite my constant anxiety.
Meanwhile, per one of many conversations with @Rocket, the Jollibee would never fly here because the Taiwanese won't dig the taste (if it stays true to the real J-Bee). The One Day Millionaires of Overseas Pinoys in Taipei are NOT going to keep the doors open. They'll flood the joint on Sundays and it will die a slow death during the week.
There is, however, a noticeable increase of Taiwanese presence in Metro Manila. Aside from the Cha Tea locations and new restos, there are a bunch of Family Marts popping up, which are (if I'm not mistaken) Taiwanese-owned franchises. At the same time, Cebu Pacific finally got us off the 737-300s and into the new 777s, which are obviously much larger - and the TPE-MNL flights are still full.
As long as nobody shoots up a fishing boat in contested waters, I see a warming trend in TW-PH relations. But what I do I know?