which does mean spiritual freedom?

For me, it means freedom from my slavery to sin - I am no longer chained to my sin nature because it was smashed by what Jesus did on the cross. Once I trusted only in that to receive God's pardon, I was liberated as a new child of God, able to grow in grace as I 'fed' upon God's word in the Bible.

There's one bit in the Bible I would just share as a tiny example of this. It's in Galatians chapters 4 & 5. If you could read them first, then you might understand what true spiritual freedom is. In summary, they show why Christians are not considered to be either Jew or Greek, male or female, slave or free - the way unspiritual people view such things.

Vs 7 - So you are no longer a slave, but a son; and since you are a son, God has made you also an heir.
Vs. 8 - Formerly, when you did not know God, you were slaves to those who by nature are not gods.
Vs. 10 is a rebuke to Christians who were "observing special days and months and seasons and years." The apostle was concerned that he had wasted his efforts on them because they were going back to such observances instead of remaining focused on their new-found freedom in Christ.

The days he mentioned were days in the Judaic calendar such as the Sabbath day, the Day of Atonement, the festivals of the New Moon, the Jubilee Year.... those dates which were holy days to those in the old law covenant. Christians were now set free from a legalistic approach to God and had no need to observe the Jewish sacred calendar.

I've been set free in Christ and am not bound by any calendar! I just concentrate on pointing people to the freedom they could have in Christ, if they truly trusted in Him alone for their salvation. This freedom in Christ extends to every aspect of my life, not just with things like holidays (holy days) but I mention it as a tiny example.