The amount of time spent defining what you want is surely going to be equal to this.
Depending on how you code it's likely to take you more than 90 seconds to: Fire up the editor, switch into mental design mode, create the initial script structure, write the script, figuring out authentication/cookie management issues, picking the right regex (or selector), and then debugging the typo or the 2 unexpected problems that came up (as they will on average).
I think you can see the time and mental differences between that and:
"Here is the URL and credentials, can you log in, visit each page in my gallery and send me a zip with all the pictures?"
In the end you'll be more proud of a script approach, but that doesn't give you what you wanted in the first place-- i.e. avoiding the drain on your time when you have more important things to do.
Anyway, this kind of delegation doubles as practice for managing larger teams and companies. You need to get used to not doing every little thing.
Regarding delegation, it is a good point. Knowing when do do something yourself is always a challenge. In my opinion, these tasks are far too trivial for a 'hacker' to give to someone else.
Personally, I have a directory named "doodles" that is full of 2 or 3 line programs that do this kind of thing.
There are many small tasks that you could do, but they are time-consuming and they are not your forte. Knowing when to delegate a task and when not to is something that comes from experience, and anyone working in a startup should do well to know that they are not alone in the world.
So if you're great at Perl, that's fantastic. Go ahead, hack it in a minute or two. But for that guy who hasn't written Perl in a year, might need a google search or two to remind himself of the syntax, might even need to update his packages... well guess what? Maybe it's time to delegate and focus on other things you are even better at.