With moderate temperatures, the usually-recommended 65F to 75F, the most prominent effect will be increased graininess near the low and high end of that range.(posted 8487 days ago)Developers and films react to temperature changes slightly differently in regards to time changes to match a specific CI; ideally you'd run tests at various temperatures to learn exactly what times result in matching CIs. A calculated compensated time may be so close to what's needed there'll be no significant difference, but otoh it may be quite a bit off. Generally speaking, though, the calculated time will be close enough.
See _Controls in Black and White Photography_ by Dr. Richard J. Henry for more than you ever wanted to know about this.