Luck Based Trophies - Yes or No?

I've recently been playing Assassin's Creed : Revelations, and after polishing off the single player portion of the game, I've run into a trophy that I cannot seem to unlock.

Tax doesn't have to be taxing, but sadly, it is.

Without going into great detail about it, simply for the reasons that I've spent way too much time doing just that elsewhere, the trophy requires you to "Get your money back from a Templar Tax collector", a completely random occurrence within the game world.                                      
There are various theories floating around about where/when he shows up, but the bottom line is, it's all down to luck.                                                                                            
So, do luck based trophies have a place in our digital lists? I want to say yes. After all, they add an extra dimension to trophy collecting, and can always add a sense of excitement and tension that rivals that of gambling and chance.                                                                     
However, the lack of control over unlocking the trophy is a slightly uncomfortable thought, and people will always be at least slightly apprehensive about trophies aren't dictated by themselves when it comes to unlocking them.            
                                 
I can see both sides of the argument, but the sure thing is that they seem to be creeping into games more and more. Every single zombie retail list/map pack released from World at War and Black Ops has trophies with an emphasis on the mystery box, with the "Acquire Waffle Weapons" and "Sacrificial Lamb" trophies being 2 of the more notably tougher luck-based trophies in the vast PS3 trophy catalogue.                                                                                              

Call of Duty zombies mode is packed with Luck-based trophies,
but it isn't called the "Mystery Box" without reason.

FIFA 12 presents the "How Great is That?" trophy and The Borderlands Claptrap's New Robot Revolution DLC has a handful of painstaking collectible trophies, just to throw out a few more examples of personal experience.     
            
With enough perseverance though, you'll eventually get them, but when, is down to the mechanics of the game, rather than the player. It could unlock first time, just in the same way it could theoretically be never, (even though most trophy hunters I know of would walk the depths of hell to earn a Platinum trophy), but the point stands.                                                            
I've always believed trophies are better when you know when to expect the end-goal. If a trophy requires you to reach a certain rank online, you can work out an average expected time. It'll be different for everyone, sure, but if you put the time in, you're guaranteed to get it.    
                                                                                         
I understand the "Tax Evasion"trophy from Assassin's Creed : Revelations probably isn't in the same league as some of the aforementioned examples in this post, but It's frustrating to be at a dead end for 5/6 hours (and counting), having finished everything else in the game, and simply waiting for a random event to happen for the Platinum trophy, that just doesn't seem to want to happen.                                                                                                                                                      
"Give Luck a chance to happen, and it eventually will." Some people will just say, "Luck Off!"