Here's an interesting article on which traditions read more of the Bible in church.
The writer recognises that in evangelical/charismatic churches, there tends to be only one reading from the Bible. Our congregation is guilty as charged. In only one service a month do we have more than one reading - a 9am Prayer Book Morning Prayer Service on the Ist Sunday of the month which we started in part because we recognised the need to keep the tradition of scripture reading going.
However, I'd defend the one reading a service pattern. We tend to go through whole biblical books (currently John's gospel in the mornings, for example), so we are aiming over the long term to go deep with scripture. Several times over the years, I have carried out informal surveys (particularly in the last church in which I served), in order to find out if anyone could remember what we read the previous Sunday. The results were not encouraging.
It's not that we don't take the Bible seriously. Far from it.
Anyway, it's not quantity that matters it's quality. The quality of how it is read, taught and applied. I've been in plenty of services with either pattern where the ministry of the Word has been terrible. Similarly, I've been to churches of both traditions where it has been a joy to receive the Word. Both can be done well.