I'll respond more to other comments later as I'm about to head into work but..
There's nothing to apologize for. Everyone you're responding to knows Spell Speed affects the number of casts you can do within a time frame because it reduces your Cast time and Recast time.
What everyone's point of contention is the fact that you seem to believe that Lightspeed grants "more cast times" which most of us are interpreting as "more GCDs" which is incorrect *Points to HPDelron's post above* If you explained "more casts" as "gives us the ability to heal while moving that let's us get more emergency heals out in a pinch" then yes, that is correct.
Also, you notice how the only way you actually GOT more casts is by adding spell speed. If you take Lightspeed out of the equation, you still get the same number of casts. Lightspeed and Spell Speed work independently of each other. The act of using Lightspeed does not give your more spell casts within the same time frame as you have been indicating this entire time. This just show cases your ignorance of the game mechanics as a whole.
Context is key. If you can't explain yourself properly after the number of posts you've made on the subject, I would recommend rethinking your approach.
As it stands right now, you're just salting your own wounds more by continuing to show a level of both arrogance and ignorance that is unbecoming of people who ply the healing trades.
[EDIT]
I've re-read your original comments on the matter just now just to be sure I wasn't missing anything now that I've cleared my head after a night of rest and now I can kinda see what you're trying to say with Lightspeed on the original comment >>;
It'd probably be better in the future if you said "Spell Speed enables more casts which allows you to fit more spells into Lightspeed's duration" which is absolutely correct (assuming that's how you wanted your original point to come across, I honestly don't know anymore with the way you try to explain yourself)