Inflation/deflation has very little impact on the poor; the poor spend almost 100% of their income within a short window of receiving it just to survive. From the view of poverty, saving money is a rich man's luxury, and worries about inflation/deflation rates goes along with it.
For those with excess money, inflation does encourage investment. Under a steady inflationary pressure, it is irrational to hoard your excess money under a mattress or put it in the bank and earn interest, because interest won't keep up with inflation. Your money evaporates away under that scenario. Instead, if you want to act rationally, you would look for other places to put your money where it could outperform inflation. That's the only way you have a chance of holding onto the value it represents.
Deflation discourages spending, but it also discourages investment. Sure, you could justify rolling the dice on some investments to try to outperform the constant bump in value you get every day from deflation, but why bother with that extra risk? If you just sit on your money, trying not to spend it, you'll have way more value in the future than you could ever hope to get out of it today.
This isn't about saving vs. spending, it's about using money for what money is meant for -- exchange of value for value, not as a durable permanent store of value.