Te to me is efficiency, practicality .. regardless of whether your heart's in what you're doing ... regardless of people's feelings. Both my parents are Te-leading .. so I think I'm somewhat immune
.. or thought I was, until I realised that I'd developed habits of hiding my way of doing things, so as to not be criticised for my methods. Either that, or just doing things the way other people wanted them done - not caring at all about the outcome since I hated the process.
LSEs' Te is mostly about bluntness from my perspective. E.g. being on good terms with my flatmate, and her leaving me a note one morning that said something like "You left the door unlocked last night. That shows that you don't respect my property. I don't appreciate it." Which I found pretty rude, considering it was a one-off thing .. and considering my property was involved too.
I thought she must have been really angry to write a note like that .. but she wasn't at all when I saw her next. I guess those were just the facts she wanted to get through to me. lol
LIEs' Te seems more a focus on not wasting personal time and energy. Like "why the hell would you wash those by hand when you could wait and put them in with a load of wash?"
"Because it's faster, and I don't mind doing it."
"Why walk all the way to the postbox when I'll be driving by one later on?"
"Erm .. because I feel like walking."
*suspicious look* "What else are you planning on doing?"
"What? I'd just rather post this letter right now."
"It's not going to get there faster. That doesn't make sense."
*sigh* "Does it matter? I just feel like walking over there."
And then there's scheduled relaxation which seems weird to me. Like they expect that because you prefer to do work in an enjoyable way that naturally you'll be glad to drop everything and relax at a time and in a way that they deem appropriate.