I'd say it does give more incentive to do so but does not necessarily has an impact. For one the effect depends heavily on how much reward is paid of course.
Then some things I noticed: Interest based rewards work well if there's quite some community interest in the coin. If not there is the problem that, especially with no or a high max age cap, people tend to do one input, let it age and stake it once for the interest in the max age period or week. There is no incentive to stay online because more stakes just result in the same reward in more smaller chunks instead of a bigger one.
Fixed block rewards work better in this situation because every block counts, if few people are there the better for the single one since quite few coins are enough to reap quite an impressive return. But unless the block rewards are quite high it doesn't drives a hype as well since with lots of people staking the amount appears less attractive compared to the amount of coins needed to get blocks regularly whereas interest based rewards scale up and even with getting a block just now and then it makes up with delivering a higher reward (and the wallet can be offline for some initial maturing/aging).
I'd suggest to raise the reward slightly and perhaps pay a small fixed base block reward with the interest based reward on top.
Edit: The coin is based on a hybrid code. Is it disabled or can people solo mine some zero reward PoW blocks to push the chain?
Interesting research. Based on that, the best approach here would be to keep the regular interest rate at 1%, but on top of that add fixed rewards of not very big size (so they cause about 4% of yearly inflation). This will ensure there are at least few persons leaving their wallets staking all the time, and chain will move well. If others are not willing to do the same, its ok for them to get practically just 1% yearly rewards, while the ones who support the network will get much more (depending on how many people will join).
The rewards structure in that case will be similar to masternode-enabled network rewards actually... but with added bonus - the wallets will move the network unlike regular masternodes.
The goal - network running smooth - will be reached then.