not sure what you mean by different size... amount of money/fees? Tx size in bytes is less relevant opening a channel.
For this particular use case your use case seems valid. If you "insist" on opening 10$ channels for sub-cent channels (and another 10$ to close), you naturally come to the conclusion, that the network gets centralized. And the options are nearly unlimited to create assumptions/ideas to centralize with Lightning. However you can also avoid centralization. In your example, you have the assumption that 5 channels are opened at the same time, and the 50$ are "illiquid", and eventually lost to miners. Keeping one channel only, is a 10$ loss (+ maybe some LN fees for hopping through the network). So the question is, how many tx you push through the network, compared to "normal" bitcoin tx. You can have a channel opened for a year, and order every month a book. In lightning it looks like a one off cost for opening the channel. In bitcoin this would be 12 fee payments.
There was a picure in the net, that I allowed myself to extend a bit:

The three left pictures are limited in a way, that everyone is connected with everyone else. The possibility that you and me just open a channel, close it afterwards, and can even decide when to close the channel (when fees are down) is often not mentioned. Instead assumption is always a short time view. I think a general topic is also the assumption, that fees will stay high forever. There is no proof for this, but as an underlying assumption it (only) could lead to centralization. Taking the assumption, that many tx go into the lightning network, the main blockchain is freed up from 10.000s of low fee tx (see also Jochen's page). This would reduce fees dramatically. We would then have segwit for "more capacity", and lightning for repeating low level tx - future only will show. Same applies for other crypto currencies :-) Really exiting times ahead.
btw: first tx are on mainnet, want to join the revolution?
https://bitcointalk.org/index.php?topic=2815332.0
https://www.reddit.com/r/Bitcoin/comments/7pwna9/lightning_network_megathread/
https://lightning.network/lightning-network-paper.pdf
Bitcointalk discussion here: https://bitcointalk.org/index.php?topic=2854596.0