I guess I completely disagree with the direction the OP's league is going. I believe the TE can add plenty to FF, but that you need to have the gumption to set up your league to let them matter.
Both of my leagues have gone to a format that include 4 WR, 2 TE, and 1 flex WR/TE. WR get .5 ppr, and TE get 1 ppr.
With such a setup, TEs beyond the top 3 or 4 start to have value. There is a bit of a glut from TEs 4 to 10 or so, but when you're looking at starting 24 TEs, there are significant differences between having TE 6 or TE 13.
For example, here are the fantasy starting TEs with total points in this scoring along with their VBD value based on the 24th TE as the baseline:
Gonzalez, Tony KCC TE 263 172
Witten, Jason DAL TE 203 112
Clark, Dallas IND TE 198 107
Gates, Antonio SDC TE 177 86
Cooley, Chris WAS TE 171 80
Daniels, Owen HOU TE 167 76
Carlson, John SEA TE 157 65
Shiancoe, Visanthe MIN TE 148 56
Miller, Zach OAK TE 143 52
Olsen, Greg CHI TE 141 50
Scaife, Bo TEN TE 126 35
Keller, Dustin NYJ TE 122 30
Scheffler, Tony DEN TE 122 30
Fasano, Anthony MIA TE 121 30
Miller, Heath PIT TE 120 29
Miller, Billy NOS TE 111 20
Boss, Kevin NYG TE 108 17
Lewis, Marcedes JAC TE 105 14
Winslow, Kellen CLE TE 103 12
Lee, Donald GBP TE 100 9
Martin, David MIA TE 98 6
Graham, Daniel DEN TE 96 5
Shockey, Jeremy NOS TE 95 4
Heap, Todd BAL TE 91 0
With this kind of a setup, TEs are no longer an after thought. We also start 1 QB, 2 RB and 1 QB/RB flex. The 5th TE is about equivalent to the 9th RB in value (before accounting for scarcity of RBs, so RBs should be a little more valuable than that in actuality). The 12th TE is about equal in value to the 20th RB.
In a 33 round draft (11 starting offensive starters, 6 IDP, kicker and head coach), we had 6 TEs go in the first 6 rounds. 13 were gone by the end of the 9th round. 21 were gone by the end of the 11th round. They definitely are not something you can overlook or that don't play a role in the outcome of a game anymore. A pair of stud TEs can be nearly as valuable to you as a pair of stud WRs or RBs. It brings TE closer on par with the value of RBs and WRs, especially at the very top of the positions. Though as you go down the positional chart, RB and WR are probably still a little more important, but not by much.