Typically what range can an active powered type 5 NFC tag be written / read on iOS/Android
Range is very variable and dependent on tag and device antenna sizes and reader design and ICs used.  NTAG 5 Boost versions claim up to 600mm range (see below).
Typically 30 to 100mm ranges are achieved, depending mostly (it seems) or tag and reader antenna design.  Best case 600 mm range is claimed - see below.
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The following table and graph is provided by ST.
ST25T&amp;ST25DV-I2C read range evaluation with the ST25R3911B antenna reference design.
With a 15 x 15 tag antenna range is 55 mm to 95 mm as reader antenna varies from 30 x 30mm to 100 x 80mm .
AT the other extreme, with a 80 x 50 tag antenna (rather large) range varies from 100mm to 200mm with the same reader antennae as above.

From here
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Practical design.   RF430FRL15xH NFC and ISO/IEC 15693 Sensor Transponder Practical Antenna Design
TI Application Report SLOA217–April 2015. 24 pages

The Texas Instruments RF430FRL15xH ISO/IEC 15693 NFC Sensor Transponder is an NFC Tag Type 5
device operating at 13.56 MHz (HF band). Depending on the application communication distance
requirements, the antenna geometry can be adjusted. The device gives the flexibility to be used in
combination with various antenna geometries.
The scope of this document is a short practical guidance on antenna design basics

Results - from page 11 of the above document.
Note - in cm.

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Claimed longer range - NTAG 5 Boost
NTAG® 5 boost: NFC Forum Compliant
I
2C Bridge for Tiny Devices
OM2NTx5332: NTAG® 5 development kits

Buy on that page or eg from Digikey
NXP Semiconductors
NTAG® 5 Family: NTAG 5 boost I²C Bridge for Tiny Devices
NXP's I²C bridge for tiny devices is NFC forum compliant and offers active load modulation to enable very small antennas here
47 page introductory document from NXP February 2020
NTAG 5 PRODUCT INTRODUCTION NFC FORUM TYPE 5 TAGS: NTAG 5 PRODUCT FAMILY PRESENTATION
600 mm -
Page 8, 18 :  NFC Forum Type 5 Tag compliant ISO/IEC 15693 compliant, up to 60 cm read range
Page 34 - range compariosns.
&quot;Allows the user to build a compact antenna with a smaller footprint without compromising the read range.&quot;
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To (probably) add confusion, here are some other sources:
2016 &quot; ...  Many are tagged with the popular ISO 15693 tags, which allow for a longer read range. This is useful for scanning library books or checking passes on the ski lift where a 5 to 10cm read range keeps things moving smoothly. Now, NFC phones can read them too. ...&quot;
From here
ST TAG offerings here
NXP offerings here